Probability and randomness play crucial roles in various aspects of life. Randomness refers to uncertain individual outcomes with a regular distribution over a large number of repetitions. Probability models help describe chance behavior by defining sample spaces, assigning probabilities to outcomes

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Delve into computability theory, focusing on what is computable and the limits of computation. Explore concepts like Rice's Theorem, the Halting Problem, and classes of expressiveness in computability theory, such as combinational logic, finite-state machines, pushdown automata, and Turing machines.

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Characterizing Distributed Systems: Multiple autonomous computers with CPUs, memory, storage, and I/O paths, interconnected geographically, shared state, global invariants. Classifying Distributed Systems: Based on synchrony, communication medium, fault models like crash and Byzantine failures. Comp

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Computation of Machine Hour Rate (MHR) involves determining the overhead cost of running a machine for one hour. The process includes dividing overheads into fixed and variable categories, calculating fixed overhead hourly rates, computing variable overhead rates, and summing up both for the final M

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Explore the improved black-box constructions of composable secure computation, focusing on definitions, objectives, and the formalization basics of multiparty computation (MPC). Learn about the motivating security aspects in MPC and the real/ideal paradigm. Discover how MPC security involves compari

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Delve into the world of numerical methods through the guidance of Dr. M. Mohamed Surputheen. Explore topics such as solving algebraic and transcendental equations, simultaneous linear algebraic equations, interpolation, numerical integration, and solving ordinary differential equations. Learn about

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Explore the concepts of randomness, probability, and simulation in this informative lesson. Learn how to interpret probability as a long-run relative frequency, dispel common myths about randomness, and use simulation to model chance behavior. Delve into the idea that chance behavior is unpredictabl

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Learn about income computation of trusts using ITR-5 vs. ITR-7, types of institutions, components of income, application of income, and important guidelines including amendments by FA2022 for charitable and religious trusts.

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Explore the automation of efficient RAM-model secure computation techniques, including examples such as secure binary search. Discover how traditional solutions using circuit abstractions can be improved for sub-linear time computation through methods like Oblivious RAM. Learn about techniques such

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This report discusses the use of Secure Multiparty Computation (SMC) to enable sharing of sensitive Department of Education data across organizational boundaries. The application of SMC allows for joint computation while keeping individual data encrypted, ensuring privacy and security within the Nat

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Delve into the realm of secure multiparty computation under 1-bit leakage, exploring the intersection of DP algorithms, MPC, and the utilization of leakage for enhanced performance. Discover the overhead implications of achieving active security, as well as the evolution of secure computation protoc

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Explore the world of randomized algorithms through types like Las Vegas and Monte Carlo, with a focus on classic examples such as Quick Sort. Learn how randomness plays a crucial role in computation and discover the principles behind these algorithms. Dive into the applications of randomized algorit

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Utilizing evidence-based methods, this study explores incorporating computation in physics courses, focusing on instructional design, student knowledge states, and preparation for future learning. It discusses common conceptual difficulties in quantum mechanics and proposes cognitive theory-based st

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Delve into the realm of quantum money, computation, and cryptography, understanding the intricacies of semi-quantum money, consensus problems, post-quantum cryptography, and unique concepts like certifiable randomness and tokenized digital signatures.

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In this study by Uriel Feige and Roee David from the Weizmann Institute, the effect of randomness on planted 3-coloring models is investigated. The research delves into the NP-hard nature of 3-coloring problems, introducing a hosted coloring framework that involves choices like the host graph and th

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Secure multiparty computation (SMC) enables parties with private inputs to compute joint functions without revealing individual data, ensuring privacy and correctness. This involves computations on encrypted data using techniques like homomorphic encryption for scenarios like e-voting. SMC serves as

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Dive into the world of randomness in repeated games through this insightful research by Moni Naor, Pavel Hubæk, and Jon Ullman. Discover the significance of randomness in algorithms, equilibria, and finitely repeated games. Explore the necessity of randomness in Nash Equilibrium and the computation

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The research paper discusses COMET, a system for transparently offloading computation from mobile devices to network resources to improve performance. It outlines the goals of COMET, its design, and evaluation, focusing on distributed shared memory and bridging computation disparity through offloadi

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Exploring actively secure arithmetic computation and VOLE with constant computational overhead at Tel Aviv University. Understanding how functions are represented in secure computation using arithmetic circuits over boolean circuits. Efficiently evaluating arithmetic circuits over large finite field

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Explore the realm of efficient random access in multi-party computation through the reevaluation of classic schemes and the introduction of new approaches. Discover the potential of ORAM in improving performance and reducing costs in various computational tasks, such as secure multi-party computatio

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Explore the significance of randomness in various computational aspects including random sampling, cooking techniques, polling methods, investing strategies, and its role in computer science. It delves into randomized algorithms, Monte Carlo simulations, cryptography, and more.

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This presentation discusses the critical aspect of ensuring high-quality randomness in cryptographic key generation processes. It explores key vulnerabilities and common failure modes, emphasizing the importance of incorporating strong randomness. The content delves into various methods and issues r

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Welcome to Secure Computation Lecture 1 by Arpita Patra. The course covers evaluation policies, projects, and references in the realm of secure computation. The content delves into the significance of information security across various sectors, emphasizing the importance of safeguarding sensitive d

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In today's lecture of "Foundations of Cryptography," the focus is on secure two-party and multi-party computation, emphasizing semi-honest security where Alice and Bob must compute without revealing more than necessary. Concepts such as real-world vs. ideal-world scenarios, the existence of PPT simu

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The research focuses on achieving perfectly secure multiparty computation (MPC) with linear communication and constant expected time. It explores efficient approaches using a broadcast-hybrid model and P2P communication, aiming to balance speed and efficiency in MPC. The study highlights the importa

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This study focuses on robust device-independent randomness amplification with limited devices, emphasizing the importance of device independence in generating random outcomes free from external influences. Various sources of randomness, including Santha-Vazirani and Hmin types, and quantum mechanics

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Exploring the intersection of secure computation and data mining, this content uncovers key challenges such as improving algorithms, converting programs for secure computation, and addressing parallelizability issues. It highlights the importance of cryptography in ensuring data privacy and presents

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Covert computation aims to conceal the fact that computation is occurring and hide engagement in certain tasks like secure computation, authenticated key exchange, and more. By making messages indistinguishable and utilizing steganographic channels, it becomes possible to keep the activities covert

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Turing Machines are fundamental in the theory of computation, capable of recognizing all computable languages. They consist of a Finite State Machine combined with an infinite tape. The tape is initialized with input on the left end, and a TM's computation can either halt by entering special accept

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Practical overview of GST computation for real estate transactions in Bangalore, with details on old rates with ITC and new rate regime effective from April 1, 2019. The content discusses different transactions, conditions for new rates without ITC, and provides insights on the 80:20 computation met

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Explore two problems related to modeling randomness - one involving choosing random students to represent a homeroom and the other simulating a cereal company's prize distribution. Learn how random number tables can be used for fair selections and calculate the average number of cereal boxes a custo

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Fides presents a system for verifiable computation using smart contracts, focusing on blockchain basics, Ethereum, smart contracts, and outsourcing computation. It explores key components of blockchain, Ethereum's decentralized computing platform, properties of smart contracts, and the concept of ve

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The research discusses advancements in authenticated garbling for achieving constant-round malicious secure 2PC using garbled circuits. It emphasizes the utilization of correlated randomness setup and efficient LPN-style assumptions to enhance communication efficiency significantly. Various techniqu

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This paper revisits the concept of secure computation with minimal interaction, focusing on the challenges and possibilities of achieving secure multiparty computation in 2 rounds. Specifically exploring scenarios with 3 and 4 parties, the study delves into the reasons for choosing n=3, n=4, and t=1

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The Income-tax Act, 1961 introduced Income Computation and Disclosure Standards (ICDS) to be followed by certain assesses for computation of income. ICDS applies to taxpayers using the mercantile system of accounting from the Assessment Year 2016-17 onwards. Non-compliance with ICDS can lead to Best

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This summarized content discusses the concept of blackbox verifiable computation, focusing on the challenges faced by clients and servers, the role of helper oracles, positive results utilizing homomorphic encryption, and background information on Random Self Reducible (RSR) functions. The protocol

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Matrix multiplication is a fundamental operation with diverse applications across scientific research. Parallel computation for matrix multiplication involves distributing the computational workload over multiple processors, improving efficiency. Different algorithms have been developed for multiply

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Exploring the concept of randomness in topology, this work delves into the fascinating realms of persistence diagrams, Euler characteristics, and Möbius inversion. Jointly presented with Amit Patel, the study uncovers the vast generalization of Möbius inversion as a principle of inclusion-exclusio

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Delve into the realm of randomness in computation as discussed by prominent researchers including Moni Naor, Ran Raz, Luca Trevisan, Salil Vadhan, Avi Wigderson, and Omer Reingold. Uncover the significance of randomness in various facets of computing such as distributed computing, cryptography, comm

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Explore cutting-edge methods in Multi-Party Computation (MPC), including leveraging Fully Homomorphic Encryption (FHE) for minimal round complexity, constructing MPC directly via FHE techniques, and simplifying multi-key FHE constructions for efficient decryption. Learn about key concepts such as di

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